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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 경남대학교 기초과학연구소 Nonlinear Functional Analysis and Applications Nonlinear Functional Analysis and Applications Vol.23 No.4
- 발행연도
- 2018.12
- 수록면
- 807 - 820 (14page)
- DOI
- 10.22771/nfaa.2018.23.04.16
이용수
초록· 키워드
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In some previous works, it is known that the KKM type results on Hadamard manifolds can be extended to hyperbolic spaces originated from Kirk in 1982 and Reich- Shafrir in 1990. Such results are the KKM theorem, the Fan-Browder fixed point theorem, Nash equilibrium theorem, variational inequalities, etc. based on our theory of abstract convex spaces. In the present article, we show that our method can be applied some recent works on Hadamard manifolds. Historical remarks are added on the study of the KKM type results on Hadamard manifolds and hyperbolic spaces.
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참고문헌 (20)
참고문헌 신청
V. Colao / 2012 / Equilibrium problems in Hadamard manifolds / J. Math. Anal. Appl 388:61~77
W.K. Kim / 2018 / Fan-Browder type fixed point theorems and applications in Hadamard man-ifolds / Nonlinear Funct. Anal. Appl 23(1):117~127
W.A. Kirk / 1982 / Krasnoselskii's iteration process in hyperbolic space / Numer. Funct. Anal. Optim 4(4):371~381
Alexandru Kristály / 2016 / What Do ‘Convexities’ Imply on Hadamard Manifolds? / Journal of Optimization Theory and Applications 170(3):1068~1074
W. Lee / 2015 / Remarks on the KKM theory of Hadamard manifolds and Hyperbolic spaces / Nonlinear Funct. Anal. Appl 20(4):579~593
W.K. Kim / 2018 / Fan-Browder type fixed point theorems and applications in Hadamard man-ifolds / Nonlinear Funct. Anal. Appl 23(1):117~127
W.A. Kirk / 1982 / Krasnoselskii's iteration process in hyperbolic space / Numer. Funct. Anal. Optim 4(4):371~381
Alexandru Kristály / 2016 / What Do ‘Convexities’ Imply on Hadamard Manifolds? / Journal of Optimization Theory and Applications 170(3):1068~1074
W. Lee / 2015 / Remarks on the KKM theory of Hadamard manifolds and Hyperbolic spaces / Nonlinear Funct. Anal. Appl 20(4):579~593
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